Modeling Textile Fabric Used in Pest Control with a 3 Scale Domain Decomposition Method

In this paper we present a model to simulate textile as used in pest control. For this application, textile is coated with a repellent, protecting the user from insect bites, and one wants to determine optimal material properties. The model extends an existing 3 scale method to allow for simulations in saturated conditions. This is achieved with the addition of an overlapping domain decomposition approach for the fiberyarn interaction. With the model we present how the performance of a coating can be determined: how much material is required, what evaporative properties are needed, how can the coating be replenished? Furthermore, the model can be used to evaluate the effects of the used textile substrate, like the type and number of fibers or the weaving structure. Lastly, it can be used to validate simple first-order models of coated textile. Numerical results indicate the 3 scale approach is valid. The influence of different textile properties on the effectiveness of the resulting textile component is presented.